Hello everyone, I have got a quite nice equation to solve. I have worked some on it but it don't go pretty well.

The equation is:

$\displaystyle \frac { 1 - 3x^2 } { 4 - x^2 } = \frac { 9x - 1 } { 3x - 6 } $

My thoughts on how to solve it.

1 Get rid of the denominators

Multiply with both numerators.

2 Open up the parenthesises and put everything either left/right of '='.

That would result in $\displaystyle 17x^2 - 23x = 0$

Going from here isn't too hard, but the anser I get is quite different from the books answer.

Thanks for all replies.